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Option 4 : 560 m2
Let the base of triangle be A cm
⇒ Height of the triangle = 10/6 A
⇒ Area of triangle = 1/2 × A × 10/6 A = 5/6 A2
⇒ By the given condition,
⇒ Area of new triangle = Area of original triangle
⇒ 1/2 × (A – 4) × (10/6 A + 8) = 5/6 A2
⇒ (A – 4) × (10A + 48) = 5A2
⇒ 10A2 + 48A – 40A – 192 = 10A2
⇒ 8A = 192
⇒ A = 24
∴ Answer is Area = 1/2 × 24 × 40 = 480 m2
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